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4382934084 = 22331712718797
BaseRepresentation
bin1000001010011111…
…00100010001000100
3102022110021010021000
410011033210101010
532434012342314
62002525253300
7213420216324
oct40517442104
912273233230
104382934084
11194a063281
12a23a04230
1354b069229
142d8155284
151a9bb7209
hex1053e4444

4382934084 has 96 divisors (see below), whose sum is σ = 12126965760. Its totient is φ = 1364138496.

The previous prime is 4382934037. The next prime is 4382934091. The reversal of 4382934084 is 4804392834.

It is a super-2 number, since 2×43829340842 = 38420222369377838112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223774 + ... + 242570.

It is an arithmetic number, because the mean of its divisors is an integer number (126322560).

Almost surely, 24382934084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4382934084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6063482880).

4382934084 is an abundant number, since it is smaller than the sum of its proper divisors (7744031676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4382934084 is a wasteful number, since it uses less digits than its factorization.

4382934084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18954 (or 18946 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4382934084 is about 66203.7316470907. The cubic root of 4382934084 is about 1636.5212405070.

The spelling of 4382934084 in words is "four billion, three hundred eighty-two million, nine hundred thirty-four thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 127 153 204 254 306 381 459 508 612 762 918 1143 1524 1836 2159 2286 3429 4318 4572 6477 6858 8636 12954 13716 18797 19431 25908 37594 38862 56391 58293 75188 77724 112782 116586 169173 225564 233172 319549 338346 507519 639098 676692 958647 1015038 1278196 1917294 2030076 2387219 2875941 3834588 4774438 5751882 7161657 8627823 9548876 11503764 14323314 17255646 21484971 28646628 34511292 40582723 42969942 64454913 81165446 85939884 121748169 128909826 162330892 243496338 257819652 365244507 486992676 730489014 1095733521 1460978028 2191467042 4382934084